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Finding the Third Proportional to 55,054.50 and 76,605

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Solution

The third proportional to 55,054.50 and 76,605 is: 106,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,054.50 : 76,605 = 76,605 : x
  2. Step 2: Convert to fraction form
    55,054.50/76,605 = 76,605/x
  3. Step 3: Cross multiply
    55,054.50x = 76,605 × 76,605
  4. Step 4: Simplify right side
    55,054.50x = 5,868,326,025
  5. Step 5: Solve for x
    x = 5,868,326,025/55,054.50
  6. Step 6: Final answer
    x = 106,591.21

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.